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Math Help - partial differentiation

  1. #1
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    partial differentiation

    Hi im trying to partially differentiate

    u= y e^(x^2 y^2) - y

    with respect to y.

    i know i need to use the product rule but im not sure how to differentiate the exponential part.

    there is also another one which is

    v= x e^(x^2 y^2) + x

    with respect to x, but i think this is the same question really.
    thankyou
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  2. #2
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    Quote Originally Posted by carlyperry View Post
    Hi im trying to partially differentiate

    u= y e^(x^2 y^2) - y

    with respect to y.

    i know i need to use the product rule but im not sure how to differentiate the exponential part.

    there is also another one which is

    v= x e^(x^2 y^2) + x

    with respect to x, but i think this is the same question really.
    thankyou
    To differentiate the exponent part, use the chain rule.
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  3. #3
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    oh right yea, so is this right??..

    du/dy = 2 x^2 y^2 e^(x^2 y^2) + e^(x^2 y^2) -1
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  4. #4
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    Quote Originally Posted by carlyperry View Post
    oh right yea, so is this right??..

    du/dy = 2 x^2 y^2 e^(x^2 y^2) + e^(x^2 y^2) -1
    Yes.
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  5. #5
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    oh good!! thanks for your help!
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